This week we are going to discuss effects of dissipation on quantum tunneling. The main part of the talk will be devoted to the Caldeira-Leggett model [1], which describes a quantum-mechanical system coupled to an ensemble of oscillators. We will also discuss some specific cases of CL model, which involve two-state systems [2]. The plan of talk is as follows: we first introduce model, discuss experimental relevance and derive general formalism to describe dissipative dynamics. In the second part we will apply this formalism to two-state system and discuss possible applications. Literature: First two references are the renowned papers. The last reference is a good (and very detailed) book on quantum dissipative systems in general.
[1] Caldeira, A. O., & Leggett, A. J. (1983). Quantum tunnelling in a dissipative system. Annals of physics, 149(2), 374-456.
[2] Leggett, A. J., Chakravarty, S. D. A. F. M. G. A., Dorsey, A. T., Fisher, M. P., Garg, A., & Zwerger, W. (1987). Dynamics of the dissipative two-state system. Reviews of Modern Physics, 59(1), 1.
[3] Weiss, U. (2012). Quantum dissipative systems (Vol. 13). World scientific.